Search Results - Boundary behavior of holomorphic functions of several complex variables

Boundary behavior of holomorphic functions of several complex variables: On boundary behavior of holomorphic functions of several complex variables

Authors: P. V. Dovbush

Source: Mathematical Notes of the Academy of Sciences of the USSR. 39:196-199

Subject Terms: boundary behaviour of holomorphic functions, Holomorphic functions of several complex variables, Lindelöf theorem, Pseudoconvex domains, Boundary behavior of holomorphic functions of several complex variables, Cluster sets, prime ends, boundary behavior, 0101 mathematics, 01 natural sciences, cluster sets

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Access URL: https://zbmath.org/3955389
https://zbmath.org/3962137
https://doi.org/10.1007/bf01170247
https://link.springer.com/article/10.1007%2FBF01170247
https://link.springer.com/content/pdf/10.1007/BF01170247.pdf

Tangential boundary behavior of functions of several variables

Authors: V. G. Krotov

Source: Mathematical Notes. 68:201-216

Subject Terms: \(H^p\)-spaces, Nevanlinna spaces of functions in several complex variables, Hardy-Sobolev space, elliptic boundary-value problem, Boundary value problems for higher-order elliptic equations, tangential boundary behavior, two-weighted estimate, Banach spaces of continuous, differentiable or analytic functions, Boundary behavior of holomorphic functions of several complex variables, 0101 mathematics, 01 natural sciences, Boundary values of solutions to elliptic equations and elliptic systems, Dirichlet problem

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Access URL: https://zbmath.org/1592054
https://doi.org/10.1007/bf02675346
https://link.springer.com/article/10.1007/BF02675346
https://link.springer.com/content/pdf/10.1007/BF02675346.pdf

Boundary Behavior of Holomorphic Functions of Several Complex Variables. (MN-11)

Authors: Elias M. Stein

Stein's theorem on infinite type domains

Authors: Chen, Liwei Yuan, Yuan

Source: Communications in Analysis and Geometry. 32:1233-1254

Subject Terms: Worm domains, boundary behavior of holomorphic functions of several variables, Mathematics - Complex Variables, Mathematics - Classical Analysis and ODEs, infinite type domains, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Primary: 32A10, 32A50, Secondary: 32T20, worm domains, Boundary behavior of holomorphic functions of several complex variables, Complex Variables (math.CV)

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Access URL: http://arxiv.org/abs/2310.11623

On the boundary behaviour of functions of several complex variables

Authors: Godula, Janusz Starkov, Victor V. Uniwersytet Marii Curie-Skłodowskiej (Lublin)

Contributors: Godula, Janusz Starkov, Victor V. Uniwersytet Marii Curie-Skłodowskiej (Lublin)

Subject Terms: matematyka, angular limit, Korányi-Stein wedge, Boundary behavior of holomorphic functions of several complex variables, Stolz angle, radial limit, unit ball, unit polydisk

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Access URL: https://zbmath.org/2067898

Bounded holomorphic functions and maps with some boundary behavior

Authors: Toshio Matsushima

Source: Journal of Mathematical Analysis and Applications. 285:691-707

Subject Terms: linear cluster set of positive measure, Global boundary behavior of holomorphic functions of several complex variables, Applied Mathematics, bounded holomorphic function, 0103 physical sciences, Boundary behavior of holomorphic functions of several complex variables, bounded holomorphic map with wild boundary behavior, 0101 mathematics, 01 natural sciences, theorems of Fatou type, Analysis, boundary behavior of holomorphic mapping

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Access URL: https://zbmath.org/1992576
https://doi.org/10.1016/s0022-247x(03)00471-2
https://www.sciencedirect.com/science/article/pii/S0022247X03004712

Boundary Morera theorems for holomorphic functions of several complex variables

Authors: Globevnik, Josip Stout, Edgar Lee

Source: Duke Math. J. 64, no. 3 (1991), 571-615

Subject Terms: Holomorphic functions of several complex variables, 32D15, Integral representations, canonical kernels (Szegő, Bergman, etc.), Morera property, holomorphic functions, Boundary behavior of holomorphic functions of several complex variables, Continuation of analytic objects in several complex variables, 32E35, \(\overline\partial\) and \(\overline\partial\)-Neumann operators, extension from the boundary

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Access URL: https://projecteuclid.org/journals/duke-mathematical-journal/volume-64/issue-3/Boundary-Morera-theorems-for-holomorphic-functions-of-several-complex-variables/10.1215/S0012-7094-91-06428-8.full
http://projecteuclid.org/euclid.dmj/1077295649

Behavior of holomorphic functions in complex tangential directions in a domain of finite type in $\Bbb C^n$: Behavior of holomorphic functions in complex tangential directions in a domain of finite type in \({\mathbb{C}}^ n\)

Authors: Grellier, Sandrine

Source: Recercat. Dipósit de la Recerca de Catalunya
instname
Recercat: Dipósit de la Recerca de Catalunya
Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona
Publicacions Matemàtiques; Vol. 36, Núm. 1 (1992); p. 251-292

Subject Terms: domain of finite type, holomorphic function, Boundary behavior of holomorphic functions of several complex variables, complex tangential directions, 0101 mathematics, 01 natural sciences

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Access URL: https://raco.cat/index.php/PublicacionsMatematiques/article/download/37699/37573
http://hdl.handle.net/2072/391487
https://ddd.uab.cat/record/60129
https://ddd.uab.cat/pub/pubmat/02141493v36n1/02141493v36n1p251.pdf
https://dialnet.unirioja.es/servlet/articulo?codigo=2129059
https://eudml.org/doc/41152
https://documat.unirioja.es/servlet/articulo?codigo=2129059
http://mat.uab.cat/pubmat/articles/view_doi/10.5565/PUBLMAT_36192_20
http://mat.uab.cat/pubmat/fitxers/download/FileType:pdf/FolderName:v36(1)/FileName:36192_20.pdf
http://www.raco.cat/index.php/PublicacionsMatematiques/article/view/37699

Boundary behavior of normal holomorphic functions of several complex variables

Authors: Dovbush, P. V.

Subject Terms: Special families of functions of several complex variables, Holomorphic functions of several complex variables, Fatou points, normal function, strictly pseudoconvex bounded domain, Picard-type theorems and generalizations for several complex variables, Boundary behavior of holomorphic functions of several complex variables, Invariant metrics and pseudodistances in several complex variables, P-sequence for holomorphic function

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Access URL: https://zbmath.org/3842238

Analytic continuation and boundary continuity of functions of several complex variables

Authors: Edgar Lee Stout

Source: Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 89:63-74

Subject Terms: boundary value of holomorphic function, envelopes of holomorphy, Boundary behavior of holomorphic functions of several complex variables, Continuation of analytic objects in several complex variables, 0101 mathematics, Envelopes of holomorphy, 01 natural sciences

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Access URL: https://www.cambridge.org/core/journals/proceedings-of-the-royal-society-of-edinburgh-section-a-mathematics/article/div-classtitleanalytic-continuation-and-boundary-continuity-of-functions-of-several-complex-variablesdiv/34DBFABB42DC9752B02BBF66E03F956A
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0308210500032364

The restrictions of functions holomorphic in a domain to curves lying on its boundary, and discrete $ \operatorname{SL}_2(\mathbb R)$-spectra: The restrictions of functions holomorphic in a domain to curves lying on its boundary, and discrete \(SL_2(\mathbb{R})\)-spectra

Authors: Yu A Neretin

Source: Izvestiya: Mathematics. 62:493-513

Subject Terms: polynomial growth, Holomorphic functions of several complex variables, Global boundary behavior of holomorphic functions of several complex variables, holomorphic function, Boundary behavior of holomorphic functions of several complex variables, restriction, 0101 mathematics, 01 natural sciences, Operations with distributions and generalized functions

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Access URL: https://zbmath.org/1252647
https://doi.org/10.1070/im1998v062n03abeh000202
http://ui.adsabs.harvard.edu/abs/1998IzMat..62..493N/abstract

On the representation and boundary behavior of certain classes of holomorphic functions in several variables

Authors: Tully-Doyle, Ryan Keddie

Subject Terms: UCSD Dissertations, Academic Mathematics (Discipline)

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Access URL: https://escholarship.org/uc/item/7gd49040
https://escholarship.org/content/qt7gd49040/qt7gd49040.pdf

Boundary behaviour of meromorphic functions of several variables

Authors: Lempert, László

Source: Acta Math. 144 (1980), 1-25

Subject Terms: functions of bounded characteristic, Meromorphic functions of several complex variables, Boundary behavior of holomorphic functions of several complex variables, finite admissible limit, 0101 mathematics, Nevanlinna theory, growth estimates, other inequalities of several complex variables, 01 natural sciences, boundary behaviour

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Access URL: https://zbmath.org/3717677
https://doi.org/10.1007/bf02392119
https://projecteuclid.org/download/pdf_1/euclid.acta/1485890052
https://projecteuclid.org/euclid.acta/1485890052
https://link.springer.com/article/10.1007/BF02392119
http://projecteuclid.org/euclid.acta/1485890052

Boundary value problems for generalized analytic functions of several complex variables

Authors: Wolfgang Tutschke

Source: Annales Polonici Mathematici. 39:227-238

Subject Terms: Nonlinear boundary value problems for linear elliptic equations, boundary value problem, Generalizations of Bers and Vekua type (pseudoanalytic, \(p\)-analytic, etc.), fixed point of an operator, Boundary behavior of holomorphic functions of several complex variables, Analyticity in context of PDEs, Other generalizations of function theory of one complex variable, generalized analytic functions, 0101 mathematics, 01 natural sciences, Boundary value problems for nonlinear higher-order PDEs

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Access URL: https://www.impan.pl/shop/publication/transaction/download/product/103339?download.pdf
https://zbmath.org/3790759
https://doi.org/10.4064/ap-39-1-227-238
http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.desklight-c109262b-77ac-4dd7-846c-76b4ff972255

Boundary values of bounded holomorphic functions of several variables

Authors: Shapiro, Harold S.

Source: Bull. Amer. Math. Soc. 77, no. 1 (1971), 111-116

Subject Terms: Boundary behavior of holomorphic functions of several complex variables, 0101 mathematics, 01 natural sciences

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Access URL: https://www.ams.org/bull/1971-77-01/S0002-9904-1971-12624-1/S0002-9904-1971-12624-1.pdf
https://www.ams.org/bull/1971-77-01/S0002-9904-1971-12624-1/S0002-9904-1971-12624-1.pdf
https://projecteuclid.org/euclid.bams/1183532627
https://www.ams.org/journals/bull/1971-77-01/S0002-9904-1971-12624-1/home.html
https://projecteuclid.org/download/pdf_1/euclid.bams/1183532627
http://projecteuclid.org/euclid.bams/1183532627

Holomorphic extension of functions from subsets of ?ilov boundaries of circular strictly star-shaped domains: Holomorphic extension of functions from subsets of Šilov boundaries of circular strictly star-shaped domains

Authors: O. V. Karepov

Source: Mathematical Notes. 54:780-784

Subject Terms: holomorphic function, Boundary behavior of holomorphic functions of several complex variables, Continuation of analytic objects in several complex variables, Šilov boundary, radial limit values, 0101 mathematics, 01 natural sciences

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Access URL: https://zbmath.org/687485
https://doi.org/10.1007/bf01212840
https://link.springer.com/article/10.1007/BF01212840

Holomorphic functions which are highly nonintegrable at the boundary

Authors: Josip Globevnik

Source: Israel Journal of Mathematics. 115:195-203

Subject Terms: convex domain, Global boundary behavior of holomorphic functions of several complex variables, 0101 mathematics, holomorhpic function, 01 natural sciences

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Access URL: https://zbmath.org/1436104
https://doi.org/10.1007/bf02810586
https://link.springer.com/article/10.1007/BF02810586
https://link.springer.com/content/pdf/10.1007/BF02810586.pdf

On existence of admissible and weakly admissible limits for functions of several complex variables

Authors: P. V. Dovbush

Source: Siberian Mathematical Journal. 33:737-739

Subject Terms: weakly admissible limits, holomorphic function, Boundary behavior of holomorphic functions of several complex variables, 0101 mathematics, 01 natural sciences, admissible limit

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Access URL: https://zbmath.org/130845
https://doi.org/10.1007/bf00971140
https://link.springer.com/article/10.1007/BF00971140

Admissible boundary values of bounded holomorphic functions in wedges

Authors: Franc Forstneric

Source: Transactions of the American Mathematical Society. 332:583-593

Subject Terms: Real-analytic manifolds, real-analytic spaces, Holomorphic functions of several complex variables, holomorphic function, boundary value, smooth real manifold, Boundary behavior of holomorphic functions of several complex variables, 0101 mathematics, 01 natural sciences, admissible limit

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Access URL: https://www.ams.org/tran/1992-332-02/S0002-9947-1992-1087055-9/S0002-9947-1992-1087055-9.pdf
http://www.fmf.uni-lj.si/~forstneric/papers/1992%20Trans.Amer.Math.Soc.pdf
https://www.ams.org/tran/1992-332-02/S0002-9947-1992-1087055-9/S0002-9947-1992-1087055-9.pdf
https://www.ams.org/journals/tran/1992-332-02/S0002-9947-1992-1087055-9/home.html

Tangential boundary limits and exceptional sets for holomorphic functions in Dirichlet-type spaces

Authors: Sueiro, Juan

Source: Mathematische Annalen. 286:661-678

Subject Terms: Dirichlet forms, 510.mathematics, fractional Cauchy integrals, Global boundary behavior of holomorphic functions of several complex variables, Picard-type theorems and generalizations for several complex variables, existence of tangential boundary limits, Boundary behavior of holomorphic functions of several complex variables, exceptional sets, 0101 mathematics, 16. Peace & justice, 01 natural sciences, Article, approach regions

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Access URL: https://link.springer.com/article/10.1007/BF01453595